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Finding the Fourth Proportional to 837.12, 1,255.32 and 259.84

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Solution

The fourth proportional to 837.12, 1,255.32 and 259.84 is: 389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.12 : 1,255.32 = 259.84 : x
  2. Step 2: Convert to fraction form
    837.12/1,255.32 = 259.84/x
  3. Step 3: Cross multiply
    837.12x = 1,255.32 × 259.84
  4. Step 4: Simplify right side
    837.12x = 326,182.35
  5. Step 5: Solve for x
    x = 326,182.35/837.12
  6. Step 6: Final answer
    x = 389.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.